Average Error: 1.2 → 1.2
Time: 1.6s
Precision: binary64
\[\left(\log \left(e^{a} + e^{b}\right) - a\right) - b\]
↓
\[\left(\log \left(e^{a} + e^{b}\right) - a\right) - b\]
\left(\log \left(e^{a} + e^{b}\right) - a\right) - b
↓
\left(\log \left(e^{a} + e^{b}\right) - a\right) - b
double code(double a, double b) {
	return ((double) (((double) (((double) log(((double) (((double) exp(a)) + ((double) exp(b)))))) - a)) - b));
}
↓
double code(double a, double b) {
	return ((double) (((double) (((double) log(((double) (((double) exp(a)) + ((double) exp(b)))))) - a)) - b));
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.2

    \[\left(\log \left(e^{a} + e^{b}\right) - a\right) - b\]

  2. Final simplification1.2

    \[\leadsto \left(\log \left(e^{a} + e^{b}\right) - a\right) - b\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b)
  :name "(- (- (log (+ (exp a) (exp b))) a) b)"
  :precision binary64
  (- (- (log (+ (exp a) (exp b))) a) b))